The point P is the intersection of the lines
3x−y=7andx+y=5.
Let Q(6,2) and R(6,−4) be two other points in the plane.
a. (i) Determine the coordinates of P.
b. (ii) Using P, Q and R as vertices, calculate the area of triangle PQR.
c. (iii) Find the length of side QR and hence obtain the perimeter of triangle PQR. (Leave 5 in your answer if it occurs.)